#### Trending Tags

#### Popular Searches

A Lot Of Riddles Aquatica Char Riddles Bamboo Riddl Riddles Every One In The World Needs Me But Generously Give Me Who Am I Riddles Family Relationships Riddles I Have 50rs Spent 20 Balance 30 I Spent 15 Balance 15 Rs I Spent 9 Balance 6 I Riddles I Run Yet I Have No Legs What Am I Riddles Im Dull And Fake Loved By None I Make Mistakes And Suck The Fun My Laughters Hollow My Humour Raw My Life Is Empty Of That Riddles Sea Animals Riddles What Did The Librarian Use For Bait When She Went Fishing Riddles What Has 8 Legs And 8 Eyes Eats Eggs But Not Flies Riddles What Has Onl Riddles What Is Hairy And Hard On The Outside Soft And Wet Inside Begins Riddles Where Do Cows Go To Have Fun Rid Riddles Why Is Facebook Like A Fridge Riddles

Feel free to use content on this page for your website or blog, we only ask that you reference content back to us. Use the following code to link this page:

#### Search Suggestions

Trouble finding ? Here are some search terms related to to try browsing:

Terms · Privacy · Contact
Riddles and Answers © 2019

## The Secret Santa Exchange

A group of ten friends decide to exchange gifts as secret Santas. Each person writes his or her name on a piece of paper and puts it in a hat. Then each person randomly draws a name from the hat to determine who has him as his or her secret Santa. The secret Santa then makes a gift for the person whose name he drew.

When it's time to exchange presents, each person walks over to the person he made the gift for and holds his or her left hand in his right hand.

What is the probability that the 10 friends holding hands form a single continuous circle?

When it's time to exchange presents, each person walks over to the person he made the gift for and holds his or her left hand in his right hand.

What is the probability that the 10 friends holding hands form a single continuous circle?

Hint: It's not as difficult as it seems.
It's the number of ways the friends can form a circle divided by the number of ways the names can be drawn out of the hat.

1/10

For a group of n friends, there are n! (n factorial) ways to draw the names out of the hat. Since a circle does not have a beginning and end, choose one person as the beginning and end of the circle. There are now (n-1)! ways to distribute the remaining people around the circle. Thus the probability of forming a single circle is

(n-1)! / n!

Since n! = (n-1)! * n (for n > 1), this can be rewritten as

(n-1)! / (n*(n-1)!)

Factoring out the (n-1)! from the numerator and denominator leaves

1/n

as the probability.

YES NO

For a group of n friends, there are n! (n factorial) ways to draw the names out of the hat. Since a circle does not have a beginning and end, choose one person as the beginning and end of the circle. There are now (n-1)! ways to distribute the remaining people around the circle. Thus the probability of forming a single circle is

(n-1)! / n!

Since n! = (n-1)! * n (for n > 1), this can be rewritten as

(n-1)! / (n*(n-1)!)

Factoring out the (n-1)! from the numerator and denominator leaves

1/n

as the probability.

*Did you answer this riddle correctly?*YES NO

## Post Your Secret Santa Riddles Below

Can you come up with a cool, funny or clever Secret Santa Riddles of your own? Post it below (without the answer) to see if you can stump our users.